Title
Optimized Schwarz Waveform Relaxation and Discontinuous Galerkin Time Stepping for Heterogeneous Problems.
Abstract
We design and analyze a Schwarz waveform relaxation algorithm for domain decomposition of advection-diffusion-reaction problems with strong heterogeneities. The interfaces are curved, and we use optimized Ventcell transmission conditions. We analyze the semidiscretization in time with discontinuous Galerkin as well. We also show two-dimensional numerical results using generalized mortar finite elements in space.
Year
DOI
Venue
2012
10.1137/120865033
SIAM JOURNAL ON NUMERICAL ANALYSIS
Keywords
Field
DocType
coupling heterogeneous problems,optimized Schwarz waveform relaxation,time discontinuous Galerkin,nonconforming grids
Discontinuous Galerkin method,Mathematical optimization,Relaxation algorithm,Mathematical analysis,Waveform,Mortar finite elements,Schwarz alternating method,Domain decomposition methods,Mathematics
Journal
Volume
Issue
ISSN
50
5
0036-1429
Citations 
PageRank 
References 
4
0.56
4
Authors
3
Name
Order
Citations
PageRank
Laurence Halpern1819.41
Caroline Japhet2386.64
Jérémie Szeftel3315.10